What is a 'derivative'?

If we have a function f(x), taking its derivative would obtain a new function f'(x). However, now this second function f'(x) defines the tangent along any point on the original graph of f(x). This is useful for an astonishing amount of areas of mathematics, and it is important you know some of them to fully comprehend why it is we study differential equations/derivatives.

AP

Related Maths A Level answers

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Integrate(1+x)/((1-x^2)(2x+1)) with respect to x.


how do integrate an equation with a surd or a fraction?


integrate x^2(2x - 1)


In a science experiment a substance is decaying exponentially. Its mass, M grams, at time t minutes is given by M=300e^(-0.05t). Find the time taken for the mass to decrease to half of its original value.